For is an element of R, and ,,,,>0,we consider an abstract version of the system {u+(2)-(+||del||(2))=(+)+ +---=-(t) describing the dynamics of thermoelastic extensible beams or Berger plates, where the evolution of the temperature is ruled by a regularized Moore-Gibson-Thompson type equation. The existence of a global attractor of optimal regularity is proved.
Global attractors for Moore-Gibson-Thompson thermoelastic extensible beams and Berger plates
Filippo Dell’Oro;Lorenzo Liverani;Vittorino Pata;
2025-01-01
Abstract
For is an element of R, and ,,,,>0,we consider an abstract version of the system {u+(2)-(+||del||(2))=(+)+ +---=-(t) describing the dynamics of thermoelastic extensible beams or Berger plates, where the evolution of the temperature is ruled by a regularized Moore-Gibson-Thompson type equation. The existence of a global attractor of optimal regularity is proved.File in questo prodotto:
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